考虑磁饱和的永磁电磁混合悬浮系统磁力计算方法  

Magnetic force calculation method of permanent magnet electromagnetic hybrid suspension system considering magnetic saturation

作　　者：申璐 张立伟[1] 修三木 张孟磊 刘涛 SHEN Lu;ZHANG Li-wei;XIU San-mu;ZHANG Meng-lei;LIU Tao(School of Electric Engineering,Beijing Jiaotong University,Beijing 100044,China;Shenzhen Changlong Railway Electronic Engineering Co.,Ltd.,Shenzhen 518049,Guangdong,China)

机构地区：[1]北京交通大学电气工程学院,北京100044 [2]深圳市长龙铁路电子工程有限公司,广东深圳518049

出　　处：《交通运输工程学报》2024年第6期172-182,共11页Journal of Traffic and Transportation Engineering

基　　金：国家自然科学基金项目(52337003)。

摘　　要：为提高永磁电磁混合悬浮系统磁力计算的准确性和效率,综合考虑解析法计算速度快和有限元法计算精度高的优势,基于等效面电流法,将系统中的永磁体等效为电磁线圈,进而建立了永磁电磁混合悬浮系统的纯电磁线圈等效模型;基于电磁线圈电感的电流-磁链表达式,即非线性磁饱和模型和虚位移能量平衡法,推导了适用于永磁电磁混合悬浮系统的磁力解析表达式;基于有限元仿真结果拟合了各参数变量-气隙方程,确定了考虑磁饱和的永磁电磁混合悬浮系统磁力计算方法。分析结果表明:电磁线圈电感的非线性磁饱和模型可以有效表示磁饱和对于磁力计算的影响;流过永磁电磁混合悬浮系统电磁线圈的电流分别为0、2.0、8.5和17.0 A时,传统解析计算公式的磁力计算结果与传统有限元仿真结果的平均偏差分别为32.87%、20.02%、29.05%和25.67%,考虑磁饱和的磁力计算方法与传统有限元仿真结果的平均偏差分别为1.68%、1.64%、1.58%和1.37%,与试验结果的平均偏差分别为1.66%、1.77%、0.91%和1.35%,相比于传统解析计算公式,本文所述方法极大提高了磁力计算的准确性,与传统有限元法相比,本文所述方法计算任务量大幅减少,计算效率极大提升。To improve the accuracy and efficiency of magnetic force calculation of permanent magnet electromagnetic hybrid suspension system,the advantages of fast calculation speed of analytical method and high calculation accuracy of finite element method were comprehensively considered.Based on the equivalent surface current method,the permanent magnet in the system was equivalent to an electromagnetic coil.Then,the pure electromagnetic coil equivalent model of permanent magnet electromagnetic hybrid suspension system was established.Based on the current-flux linkage expression of the inductance of electromagnetic coil,namely the nonlinear magnetic saturation model and virtual displacement energy balance method,the analytical expression of the magnetic force for the permanent magnet electromagnetic hybrid suspension system was derived.Based on the finite element simulation results,the parameter variable-air gap equation was fitted,and the magnetic force calculation method of permanent magnet electromagnetic hybrid suspension system considering the magnetic saturation was determined.Analysis results show that the nonlinear magnetic saturation model of the inductance of electromagnetic coil can effectively express the influence of magnetic saturation on magnetic force calculation.When the current flowing through the electromagnetic coil of permanent magnet electromagnetic hybrid suspension system is 0,2.0,8.5,and 17.0 A,the average deviations of the magnetic force calculation results obtained by traditional analytical calculation formula and traditional finite element simulation results are 32.87%,20.02%,29.05%,and 25.67%,respectively.The average deviations of the magnetic force calculation results obtained by magnetic force calculation method considering the magnetic saturation compared with the traditional finite element simulation results are 1.68%,1.64%,1.58%,and 1.37%,respectively,and the average deviations compared with the test results are 1.66%,1.77%,0.91%,and 1.35%,respectively.Compared with the traditional analyt

关 键 词：轨道交通 磁饱和 有限元法 永磁电磁混合悬浮系统 方程拟合 

分 类 号：U482.2[交通运输工程—载运工具运用工程]